100100000110985 has 32 divisors (see below), whose sum is σ = 141777925896960. Its totient is φ = 66411764980992.

The previous prime is 100100000110927. The next prime is 100100000110991. The reversal of 100100000110985 is 589011000001001.

It is a cyclic number.

It is not a de Polignac number, because 100100000110985 - 2⁸ = 100100000110729 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215682434 + ... + 216146043.

It is an arithmetic number, because the mean of its divisors is an integer number (4430560184280).

Almost surely, 2^{100100000110985} is an apocalyptic number.

It is an amenable number.

100100000110985 is a deficient number, since it is larger than the sum of its proper divisors (41677925785975).

100100000110985 is a wasteful number, since it uses less digits than its factorization.

100100000110985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431828705.

The product of its (nonzero) digits is 360, while the sum is 26.

Adding to 100100000110985 its reverse (589011000001001), we get a palindrome (689111000111986).

The spelling of 100100000110985 in words is "one hundred trillion, one hundred billion, one hundred ten thousand, nine hundred eighty-five".